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Finding the Fourth Proportional to 21,936, 32,907.42 and 7,141.43

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Solution

The fourth proportional to 21,936, 32,907.42 and 7,141.43 is: 10,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,936 : 32,907.42 = 7,141.43 : x
  2. Step 2: Convert to fraction form
    21,936/32,907.42 = 7,141.43/x
  3. Step 3: Cross multiply
    21,936x = 32,907.42 × 7,141.43
  4. Step 4: Simplify right side
    21,936x = 235,005,871.87
  5. Step 5: Solve for x
    x = 235,005,871.87/21,936
  6. Step 6: Final answer
    x = 10,713.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.